Answer:
Below in bold.
Step-by-step explanation:
First find the height by use Pythagoras theorem on the right triangle:
h = sqrt (5^2 - 4^2)
= sqrt 9
= 3.
Volume of the prism = area of the triangle * length
= 1/2 * 3 * 4 * 10
= 1/2 * 12 * 10
= 60 cm^3.
Total area = area of 2 triangles + area 0f 3 rectangles
= 2 * 1/2 * 3 * 4 + 3 * 10 + 4 * 10 + 5 * 10
= 12 + 30 + 40 + 50
= 132 cm^2.
Answer:
Slope is 5/2
Step-by-step explanation:
5x-2y=10
subtract 5x from both sides
-2y=-5x+10
Then you divide -2 on both sides
y=5/2x-5
Which will result 5/2 as the slope
Answer: ratio a:b = 3:5 p(X, 2) = p(9, 2)
<u>Step-by-step explanation:</u>
Plot points a = (12, 5) and b = (4, -3) and draw a line segment from a to b.
Notice that when y = 2, X = 9 so point p = (9, 2) <em>see graph</em>
The distance from a to p = 3√2
The distance from b to p = 5√2
So the ratio of a:b = 3√2:5√2 = 3:5 <em>when simplified</em>
<em />
<em>To find the distance, use the distance formula OR pythagorean theorem.</em>
Answer:
About 3891 people saw that movie.
Step-by-step explanation:
Day 1: 985 people
Day 2: (985*8)/10 (20% gone) = 788
Day 3: (788*8)/10 (20% gone) = 630.4
Day 4: (630.4*8)/10 (20% gone) = 504.32
Day 5: (504.32*8)/10 (20% gone) = 403.456
Day 6: (403.456*8)/10 (20% gone) = 322.7648
Day 7: (322.7648*8)/10 (20% gone) = 258.21184
Adding this up:
985+788+630.4+504.32+403.456+322.7648+258.21184=
985+788+630+504+403+323+258=3891
